RUS  ENG
Full version
JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009 Volume 151, Book 3, Pages 121–129 (Mi uzku791)

Three-dimensional finite element for analysis of thin-shell constructions

A. I. Golovanov, M. K. Sagdatullin

Kazan State University

Abstract: The article regards the construction of a new finite element for calculating the middle thickness of shells on the basis of a modification of three-dimensional isoparametric 8-node element through introduction of a hypothesis of infinitesimality of compression strains and usage of the technique of approximation order reduction. The method of double approximations on superconvergence points has been applied. Effectiveness of the given approach is shown on numerical examples.

Keywords: shell finite element, elastic strains, metric tensor, method of double approximation, hypothesis of infinitesimality of compression strains.

UDC: 539.3

Received: 24.02.2009



© Steklov Math. Inst. of RAS, 2025